Geodesic
Quasimonotonic difference scheme of high resolution for magnetohydrodynamics
Matematičeskoe modelirovanie, Tome 11 (1999) no. 1, pp. 101-116 Cet article a éte moissonné depuis la source Math-Net.Ru

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The explicit quasimonotonic conservative finite-difference TVD-scheme for MHD-flows is constructed. A good quality of proposed numerical method for hyperbolic systems is demonstrated by simulation of a number of tests. It has been shown that scheme can be applied to simulating of wide class of MHD-problems. 
@article{MM_1999_11_1_a8,
     author = {A. E. Dudorov and A. G. Zhilkin and O. A. Kuznetsov},
     title = {Quasimonotonic difference scheme of high resolution for magnetohydrodynamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {101--116},
     year = {1999},
     volume = {11},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1999_11_1_a8/}
}
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A. E. Dudorov; A. G. Zhilkin; O. A. Kuznetsov. Quasimonotonic difference scheme of high resolution for magnetohydrodynamics. Matematičeskoe modelirovanie, Tome 11 (1999) no. 1, pp. 101-116. http://geodesic.mathdoc.fr/item/MM_1999_11_1_a8/